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math.GT2024
On Legendrian representatives of non-fibered knots
Zhenkun Li, Shunyu Wan
We show that in if is a non-trivial knot that realizes the three-dimensional Thurston-Bennequin bound (i.e. has a Legendrian representative with $tb(Λ)-…
math.GT2024
Negative contact surgery on Legendrian non-simple knots
Shunyu Wan, Hugo Zhou
We prove that for any pair of Legendrian representatives of the Chekanov-Eliashberg twist knots with different LOSS invariants, any negative rational contact -surgery with $r\ne…